Prespacetime model for generating energy-momentum-mass relationship, self-referential matrix rules and elementary particles

ABSTRACT

A prespacetime model is formulated for generating energy-momentum-mass relationship, elementary particles and self-referential matrix rules through hierarchical self-referential spin structure in prespacetime. Key to the present model is: (1) generation of at least one primordial phase distinction in prespacetime, (2) formation of energy-momentum-mass relationship from said phase distinction; (3) formation of external and internal objects from said phase distinction; (4) matrixization of said energy-momentum-mass relationship into matrix rules; (5) matrixization of said internal and external objects into the external and internal wave functions of a particle in the dual world, and (6) interaction of said external object and said internal object through said matrix rules. In particular, working models for generating energy-momentum-mass relationship, self-referential matrix rules, elementary particles and composite particles are described as research aids, teaching tools and games. Further, working model for ether (aether) as a body or medium of prespacetime is also described as research aids and teaching tools.

This application is a continuation application of U.S. patentapplication Ser. No. 12/973,633 filed on Dec. 20, 2010, which claimspriority from U.S. provisional application Ser. No. 61/288,333 filedDec. 20, 2009, which applications are fully incorporated herein byreference.

FIELD OF THE INVENTION

The invention herein relates to model for generatingenergy-momentum-mass relationship, self-referential matrix rules,elementary particles and composite particles through self-referentialhierarchical spin in prespacetime. In particular, working models forgenerating energy-momentum-mass relationship, self-referential matrixrules, elementary particles and composite particles are described asresearch aides, teaching tools and games. Further, working model forether (aether) as medium of prespacetime is also described as researchaids and teaching tools.

BACKGROUND OF THE INVENTION

Many experiments have shown that quantum entanglement is physically real(see Aspect, A., Dalibard, j., & Roger, G. Experimental test of Bell'sinequalities using time-varying analyzers. Phys. Rev. Lett. 49,1804-1807 (1982)). It is ubiquitous in the microscopic world andmanifests itself macroscopically under some circumstances (see Ghosh,S., Rosenbaum, T. F., Aeppli, G. & Coppersmith, S. N. Entangled quantumstate of magnetic dipoles. Nature 425, 48-51 (2003)). However, theessence and implications of quantum entanglement are still hotlydebated. For example, it is commonly believed that quantum entanglementalone cannot be used to transmit binary or classical information.Further, despite of the fact that all interactions in biological systemsat molecular and sub-molecular levels are quantum interactions innature, it is commonly believed that quantum effects do not play anyroles in biological functions such as brain functions due to quantumdecoherence (see Tegmark, M. The importance of quantum decoherence inbrain processes. Phys. Rev., 61E: 4194 (2000)).

Yet, I have recently discovered non-local effects of chemical substanceson biological systems such as a human brain produced through quantumentanglement (Hu, H. P., & Wu, M. X. Photon induced non-local effect ofgeneral anesthetics on the brain. NeuroQuantology 4, 17-31 (2006), Hu,H. P., & Wu, M. X. Non-local effects of chemical substances on the brainproduced through quantum entanglement. Progress in Physics v3, 20-26(2006)). I have also discovered evidence of non-local chemical, thermaland gravitational effects produced through quantum entanglement (Hu, H.P., & Wu, M. X. Evidence of non-local physical, chemical and biologicaleffects supports quantum brain. NeuroQuantology 4, 291-306 (2006); Hu,H. P., & Wu, M. X. Evidence of non-local chemical, thermal andgravitational effects. Progress in Physics v2, 17-21 (2007)).

My invention and discovery were made against such background. No modelhas previously been known which can model the generation ofenergy-momentum-mass relationship, self-referential matrix rules,elementary particles and composite particles through self-referentialhierarchical spin structures of prespacetime. Further, No model haspreviously been known which can model ether (aether) as the medium ofprespacetime.

SUMMARY OF THE INVENTION

I have now invented prespacetime model for modeling the generation ofenergy-momentum-mass relationship, self-referential matrix rules,elementary particles and composite through self-referential hierarchicalspin structures of prespacetime. I have now also invented the model ofether (aether) as the medium of prespacetime.

The subject invention is originated from my research on self-reference,nature of spin, consciousness, brain functions and nature of quantumentanglement. I have theorized that spin is a primordialself-referential process driving quantum mechanics, spacetime dynamicsand consciousness (Hu, H. P. & Wu, M. X. Spin as primordialself-referential process driving quantum mechanics, spacetime dynamicsand consciousness. NeuroQuantology, 2, 41-49 (2004); also see CogprintsID2827 (2003)). I have also theorized that spin is a mind-pixel and thenuclear and/or electronic spins inside brain play important roles incertain aspects of brain functions such as perception (Hu, H. P., & Wu,M. X. Spin-mediated consciousness theory. Medical Hypotheses 63, 633-646(2004); also see arXiv e-print quant-ph/0208068v1 (2002)).

Further, I have discovered the non-local effects of chemical substanceson biological systems such as a human brain produced through quantumentanglement (Hu, H. P., & Wu, M. X. Photon induced non-local effect ofgeneral anesthetics on the brain. NeuroQuantology 4, 17-31 (2006), Hu,H. P., & Wu, M. X. Non-local effects of chemical substances on the brainproduced through quantum entanglement. Progress in Physics v3, 20-26(2006)). I have also discovered the evidence of non-local chemical,thermal and gravitational effects produced through quantum entanglement(Hu, H. P., & Wu, M. X. Evidence of non-local physical, chemical andbiological effects supports quantum brain. NeuroQuantology 4, 291-306(2006); Hu, H. P., & Wu, M. X. Evidence of non-local chemical, thermaland gravitational effects. Progress in Physics v2, 17-21 (2007)).

The subject invention is based on my realization that in the beginningthere was prespacetime alone (e⁰=1) materially empty but wants toexpress itself. So, it began to imagine through primordialself-referential spin.

1=e^(i0)=e^(i0)e^(i0)=e^(iL-iL)e^(iM-iM)=e^(iL)e^(iM)e^(−iL)e^(−iM)=e^(−iL)e^(−iM)/e^(−iL)e^(−iM)=e^(iL)e^(iM)/e^(iL)e^(iM). . . such that it created the self-referential matrix rules, theexternal object to be observed and internal object as observed,separated them into external world and internal world, caused them tointeract through said matrix rules and thus gave birth to the Universewhich it has since sustained and made to evolve.

The prespacetime model employs the following ontological principlesamong others are: (1) principle of oneness/unity of existence throughquantum entanglement in the ether of prespacetime; and (2) principle ofhierarchical primordial self-referential spin creating: (a)energy-momentum-mass relationship as transcendental law of one, (b)energy-momentum-mass relationship as determinant of matrix rules, (c)dual-world law of zero of energy, momentum & mass, (d) immanent law ofconservation of energy, momentum & mass in external or internal worldwhich may be violated in certain processes.

The prespacetime model further employs the following mathematicalelements & forms among others in order to empower the above ontologicalprinciples among others: (1) e, Euler's number, for (to empower) ether(aether) as foundation/basis/medium of existence (body of prespacetime);(2) i, imaginary number, for (to empower) thoughts and imagination; (3)0, zero, for (to empower) emptiness/undifferentiated/primordial state;(4) 1, one, for (to empower) oneness/unity of existence; (5)+, −, *, /,= for (to empower) creation, dynamics, balance & conservation; (6)Pythagorean theorem for (to empower) energy-momentum-mass relationship;and (7) M, matrix, for (to empower) the external and internal worlds(the Dual World) and the interaction of external and internal worlds.

Key to the present model is: (1) generation of at least one primordialphase distinction through imagination i in the prespacetime, (2)formation of energy-momentum-mass relationship from said phasedistinction; (3) formation of external and internal objects from saidphase distinction; (4) matrixization of said energy-momentum-massrelationship into matrix rules; (5) matrixization of said internal andexternal objects into the external and internal wave functions of aparticle in the dual world, and (6) said interaction of the external andinternal wave functions through said matrix rules.

The prespacetime model provides for interactions of the external andinternal worlds through quantum entanglement since I have experimentallydemonstrated that gravity is the manifestation of quantum entanglement(Hu, H. P., & Wu, M. X. Evidence of non-local physical, chemical andbiological effects supports quantum brain. Neuro-Quantology 4, 291-306(2006); Hu, H. P., & Wu, M. X. Evidence of non-local chemical, thermaland gravitational effects. Progress in Physics v2, 17-21 (2007)).

The prespacetime model provides for interactions within the externalworld through classical and relativistic physical laws with light speedc as the speed limit of the external interactions and influences of theinternal world on the external objects in the external world through asgravity macroscopically and quantum effects microscopically. Thus,according to the prespacetime model, the interactions within theexternal world and/or the internal world are local interactions andconform to special theory of relativity, but the interactions across thedual world are non-local interactions, that is, quantum entanglement orgravity.

My prespacetime model may be more completely understood by reference tothe following detailed description considered in connection with theaccompanying drawings. However, it should be understood that thedrawings are designed for purposes of illustration only and not as adefinition of the limits of the invention.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a schematic view of the generation of two primordial phasedistinctions according to the prespacetime model producing two set ofexternal and internal phase distinctions in the prespacetime.

FIG. 2 is a schematic view of a matrix equation according to theprespacetime model illustrating a relationship among the externalobject, the internal object and the matrix rule.

FIG. 3 is another schematic view of the matrix equation according to theprespacetime model illustrating interaction between the external andinternal object of an entity/particle through the matrix rule.

FIG. 4 is a schematic and mathematical view of self-referentialhierarchical spin generating energy-momentum-mass relationship andcreating, sustaining and making evolving elementary particles accordingto the prespacetime model.

FIG. 5 to FIG. 11 is schematic and mathematical views of metamorphousself-referential spin processes generating different forms of the matrixrule according to the prespacetime model.

FIG. 12 is schematic and mathematical views of a matrix game forgenerating different forms of the matrix rule according to theprespacetime model.

FIG. 13 to FIG. 21 is schematic and mathematical views of metamorphousself-referential hierarchical spin processes creating, sustaining andmaking evolving elementary entities or particles according to theprespacetime model.

FIG. 22 to FIG. 25 is schematic and mathematical views of themetamorphous self referential hierarchical spin processes creating,sustaining and making evolving composite entities or particles such as aneutron and a hydrogen atom according to the prespacetime model.

FIG. 26 is schematic and mathematical views of the roles of ether(aether) as medium of prespacetime according the prespacetime model.

DETAILED DESCRIPTION OF THE INVENTION

The detailed description of the prespacetime model is organized into 4sections.

I. Overall Scheme of the Prespacetime Model

FIG. 1 to FIG. 4 illustrates an overall scheme of the prespacetime modelincluding: (1) generation of at least one primordial phase distinctionsthrough imagination i in the prespacetime, (2) formation ofenergy-momentum-mass relationship from said phase distinction; (3)formation of external and internal objects from said phase distinction;(4) matrixization of said energy-momentum-mass relationship into matrixrules; (5) matrixization of said internal and external objects into theexternal and internal wave functions of a particle in the dual world,and (6) said interaction of the external and internal wave functionsthrough said matrix rules.

Considering first FIG. 1, the prespacetime model includes the generationof a first primordial phase distinction comprised of −L and +L and asecond primordial phase distinction comprised of −M and +Min the mind ofthe prespacetime through the imagination i of the prespacetime above thebody of the prespacetime which can also be expressed as1=e^(i0)=e^(i0)e^(i0)=e^(−iL+iL)e^(−iM+iM)=e^(−iL)e^(+iL)e^(−iM)e^(+iM)=e^(−iL)e^(−iM)/e^(−iL)e^(−iM).In one particular embodiment, L is an angle ∠Em of a right trianglecomprised of energy (E), momentum (|p|) and mass (m), and M=(Et−p·r)/

=p^(μ)x_(μ)/

.

The primordial phase distinctions are accompanied by formation ofenergy-momentum-mass relationship from said first phase distinction andformation of external and internal objects from said second phasedistinction.

Considering FIG. 2 & FIG. 3, the prespacetime model includes theexternal and internal objects, matrix rules, and interactions betweenthe external object and the internal object through said matrix rules.

Considering FIG. 4, expression 210 shows formation of a firstenergy-momentum-mass relationship through self-referential spin inprespacetime, expression 220 shows formation of a secondenergy-momentum-mass relationship in presence of an external electricalpotential A^(μ)=(φ, A), and expression 230 shows generation ofprimordial phase distinctions, formation of the matrix rule, formationof external wave function and internal wave function, interactionbetween said external and internal wave functions through said matrixrules.

In FIGS. 1 & 4, e is Euler number representing prespacetime body (etheror aether), i is imaginary unit representing imagination inprespacetime, ±M is immanent content of imagination i such as space,time, momentum & energy, ±L is immanent law of imagination i,L₁=e^(i0)=e^(−iL+iL)=L_(e)L_(i) ⁻¹=1 is transcendental law of one inprespacetime before matrixization, L_(e) is external law, L_(i) isinternal law, L_(M,e) is external matrix law, and L_(M,e) is internalmatrix law, L_(M) is the self-referential Matrix Law in prespacetimecomprised of external and internal matrix laws which governs elementaryentities and conserves zero, Ψ_(e) is external wave function (externalobject), Ψ_(i) is internal wave function (internal object) and Ψ is thecomplete wave function (object/entity in the dual-world as a whole).Prespacetime spins as1=e^(i0)=e^(i0)e^(i0)=e^(iL-iL)e^(iM-iM)=e^(iL)e^(iM)e^(−iL)e^(−iM)=e^(−iL)e^(−iM)/e^(−iL)e^(−iM)=e^(iL)e^(iM)/e^(iL)e^(iM). . . before matrixization. Prespacetime also spins through self-actingand self-referential Matrix Law L_(M) after matrixization which acts onexternal object and internal object to cause them to interact with eachother as further described below.

The prespacetime model provides for interactions of the external andinternal worlds through quantum entanglement since I have experimentallydemonstrated that gravity is the manifestation of quantum entanglement(Hu, H. P., & Wu, M. X. Evidence of non-local physical, chemical andbiological effects supports quantum brain. Neuro-Quantology 4, 291-306(2006); Hu, H. P., & Wu, M. X. Evidence of non-local chemical, thermaland gravitational effects. Progress in Physics v2, 17-21 (2007)).

II. Generation of Self-Referential Matrix Rules

In the prespacetime model, the energy-momentum-mass relationship 301 ofFIG. 5 is created from primordial self-referential spin 210 of FIG. 4.For simplicity, c=1 is used in 210 and further c=

=1 will be utilized through out this application. 301 was discovered byEinstein. In the presence of an interacting field of a second entitysuch as an electromagnetic potential A^(μ)=(φ, A), expression 210becomes expression 220 and expression 301 becomes expression 302.

In the prespacetime model, one form of matrix rule L_(M) in prespacetimeis created from the primordial self-referential spin in expressions 303& 304 of FIG. 5 where matrixization step is carried out in such way thatDeterminant 305 of FIG. 5 holds in order to satisfy the fundamentalrelationship 301 in the determinant view.

After spinization 306, expression 304 of FIG. 5 becomes 308 of FIG. 6where α=(α₁, α₂, α₃) and β are Dirac matrices and H=α*p+βm is the DiracHamiltonian. Expression 308 governs fermions in Dirac form such as Diracelectron and positron and expression 304 governs the third state ofmatter (unspinized or spinless entity/particle) with electric charge eand mass m such as a meson or a meson-like particle.

From definition 309 of FIG. 6, a result in 310 of FIG. 6 is obtained.Thus, fundamental relationship 301 of FIG. 5 is also satisfied under thedeterminant view of expression 309. Indeed, a second result in 311 ofFIG. 6 can also be obtained.

One kind of metamorphosis of expressions 303, 304, 308, 309, 310 isrespectively 312, 313, 314, 315, 316. of FIG. 7. Expression 313 is theunspinized Matrix Law in Weyl (chiral) form. Expression 314 is spinizedMatrix Law in Weyl (chiral) form.

Another kind of metamorphosis of expressions 303, 304, 308, 309, 310 isrespectively 317, 318, 319, 320, 321 of FIG. 8. Indeed, 322 is aquaternion so 319 can be written as 313.

If m=0, expression 303, 304 becomes respectively expression 324, 325 ofFIG. 9. After fermionic spinization 306, expression 325 becomesexpression 326 which governs massless fermion (neutrino) in Dirac form.After bosonic spinization 327, expression 325 becomes expression 328where s=(s₁, s₂, s₃) are spin operators for spin 1 particle as shown inexpression 329. From definition 330, expression 331 is obtained. To obeyfundamental relationship 301 in determinant view 331, it is necessarythat the last term in 331 acting on the external and internal wavefunctions respectively produce null result (zero) in source-free zone.It is proposed that expression 325 governs massless particle withunobservable spin (spinless). After bosonic spinization, the spinlessand massless particle gains its spin 1.

Further, if |p↑=0, expression 303, 304 becomes respectively expression332, 334 of FIG. 10. It is suggested that the above spaceless forms ofmatrix rules 332, 334 govern the external and internal wave functions(self-fields) which play the roles of spaceless gravitons, that is, theymediate space (distance) independent interactions through proper time(mass) entanglement.

In prespacetime model, self-confinement of an elementary entity isproduced through imaginary momentum p_(i) (downward self-reference suchthat m²>E²) as shown in expression 335 or 336 of FIG. 11 which iscreated by primordial self-referential spin shown in 337 of FIG. 11.Therefore, allowing imaginary momentum (downward self-reference) for anelementary entity, matrix rules in Dirac-like forms as shown in 338, 339can be generated through self-referential spin. Indeed, matrix rules inWeyl-like (chiral-like) form as shown in 340, 341 can also be similarlygenerated. It is proposed that these additional forms ofself-referential matrix rules govern proton in Dirac and Weyl formrespectively.

The matrix game for generating various forms of the matrix rules priorto spinization is invented and summarized in express 342 of FIG. 12where Det means determinant and M_(E), M_(m) and M_(p) are respectivelymatrices with ±E (or ±iE), ±m (or ±im) and ±|p| (or ±i|p|) as elementsrespectively, and E², −m² and −p² as determinant respectively, and L_(M)is the matrix rule so derived. By way of a first example, the matrixrule in Dirac form 343 prior to spinization can be derived as shown in344. By way of a second example, the matrix rule in Weyl form 345 priorto spinization can be derived as shown in 346. By way of a thirdexample, the matrix rule in quaternion form 347 prior to spinization canbe derived as shown in 348.

The Natural laws created in accordance with the prespacetime model arehierarchical and comprised of: (1) immanent Law of Conservationmanifesting and governing in the external or internal world which may beviolated in certain processes; (2) immanent Law of Zero manifesting andgoverning in the dual world as a whole; and (3) transcendental Law ofOne manifesting and governing in prespacetime. By ways of examples,conservations of energy, momentum and mass are immanent (andapproximate) laws manifesting and governing in the external or internalworld. Conservations of energy, momentums or mass to zero in the dualworld comprised of the external world and internal world are immanentlaw manifesting and governing in the dual world as a whole. Conservationof One (Unity) based on energy-momentum-mass relationship istranscendental law manifesting and governing in prespacetime which isthe foundation of external world and internal world.

III. Generation of Elementary Particles

In one embodiment, a free plane-wave fermion such as an electron inDirac form is created, sustained and made evolving in the prespacetimeas shown in mathematical expressions 349, 350, 351 of FIG. 13. Adifferent expression of 351 is shown in 352.

In a 2^(nd) embodiment, a free plane-wave antifermion such as a positronin Dirac form is created, sustained and made evolving in prespacetime asshown mathematical expressions 353, 354 and 355 of FIG. 14.

In a 3^(rd) embodiment, a free plane-wave fermion such as an electron inWeyl (chiral) form is created, sustained and made evolving inprespacetime as shown mathematical expressions 356, 357 and 358 of FIG.15. A different expression of 358 is shown in 359.

In a 4^(th) embodiment, a free plane-wave fermion such as an electron ina 4^(th) form is created, sustained and made evolving in prespacetime asshown mathematical expressions 360, 361, 362 and 363 of FIG. 16. Adifferent expression of 362 is shown in 364.

In a 5^(th) embodiment, a linear plane-wave photon is created, sustainedand made evolving in prespacetime as shown mathematical expressions 365,367 and 368 of FIG. 17.

The linear plane-wave photon has a wave function as shown in 369. Two ofthe Maxwell equations in a vacuum are derived as shown in 371. These twoequations together with equations (or source-free conditions) in 373form a complete set of the Maxwell equations in a source-free zone.

In a 6^(th) embodiment, a free plane-wave massless neutrino in Diracform is created, sustained and made evolving in prespacetime byreplacing the bosonic spinization shown in 368 with the fermionicspinization shown in 374 of FIG. 18.

In a 7^(th) embodiment, a linear plane-wave antiphoton is created,sustained and made evolving in prespacetime as shown in 375, 376 and 377of FIG. 18. The linear plane-wave antiphoton has a wave function asshown in 378.

In an 8^(th) embodiment, a free plane-wave massless antineutrino inDirac form is created, sustained and made evolving in prespacetime byreplacing the bosonic spinization shown in 377 with the fermionicspinization shown in 379.

In a 9^(th) embodiment, a spaceless (distance independent) wave function(spaceless graviton) of a mass m in Weyl form is created, sustained andmade evolving in prespacetime as shown in mathematical expressions 401and 402 of FIG. 19.

In a 10^(th) embodiment, a spatially self-confined entity such as aproton in Dirac form is created, sustained and made evolving inprespacetime through imaginary momentum p_(i) (downward self-reference)such that m²>E² as shown in mathematical expressions 403, 404 and 405 ofFIG. 20. In the prespacetime model, equation 404 governs the spatialself-confinement of an unspinized proton in Dirac form through theimaginary momentum p_(i) and, on the other hand, equation 405 governsthe spatial self-confinement of the spinized proton in Dirac formthrough the imaginary momentum p_(i).

Thus, according to the prespacetime model, an unspinized antiproton anda spinized antiproton in Dirac form are respectively governed byequation 406 and 407 of FIG. 20.

In a 11^(th) embodiment, a spatially self-confined entity such as aproton in Weyl form is created, sustained and made evolving inprespacetime through the imaginary momentum p_(i) (downwardself-reference) such that m²>E² as shown in mathematical expressions408, 409 and 410 of FIG. 21. In the prespacetime model, equation 409governs the spatial self-confinement of an unspinized proton in Weylform through the imaginary momentum p_(i) and, on the other hand,equation 410 governs the spatial self-confinement of the spinized protonin Weyl form through the imaginary momentum p_(i).

Thus, according to the present model, an unspinized antiproton and aspinized antiproton in Weyl form are respectively governed by equation411 and 412 of FIG. 21.

IV. Generation of Composite Particles

In a first embodiment, a neutron comprised of an unspinized proton inDirac form shown in 413 of FIG. 22 and a spinized electron in Dirac formshown in 414 of FIG. 22 is created, sustained and made evolving inprespacetime as shown in mathematical expressions 415 and 416 of FIGS.22 and 417 of FIG. 23 in which ( ), ( ) and ( ) indicate proton,electron and neutron respectively. Further, the unspinized proton haselectric charge e, the spinized electron has charge −e; (φ, A)_(p), (φ,A)_(e) are respectively electromagnetic potential acting on theunspinized proton and the tightly bound spinized electron; and V is abinding potential from the unspinized proton acting on the spinizedelectron causing tight binding. If (φ, A)_(p) is negligible due to fastmotion of the tightly bound spinized electron, 418 is derived from 417.Experimental data on charge distribution and g-factor of the neutronsupport the neutron in the prespacetime model which is comprised of theunspinized proton and the tightly bound spinized electron. A Weyl formof 417 and 418 are respectively 419 and 420 of FIG. 23.

In a second embodiment, hydrogen comprised of a spinized proton in Diracform shown in 421 of FIG. 24 and a spinized electron in Dirac form shownin 422 of FIG. 24 is created, sustained and made evolving inprespacetime as shown in mathematical expressions 423 of FIGS. 24 and424 and 425 of FIG. 25. In FIGS. 24 & 25, ( )_(p), ( )_(e) and ( )_(h)indicate proton, electron and hydrogen respectively. Further, thespinized proton has electric charge e, the spinized electron has charge−e; and (φ, A)_(p), (φ, A)_(e) are respectively electromagneticpotential acting on the spinized proton and the spinized electron inFIG. 25. If (φ, A)_(p) is negligible due to fast motion of the spinizedelectron in FIG. 25, 426 is derived from 425. A Weyl form of 425 and 426are respectively 427 and 428 of FIG. 25.

V. Prespacetime Model of Ether (Aeher)

In the prespacetime model, the mathematical representation of theprimordial ether in prespacetime is the Euler's number (Euler'sConstant) e which makes the Euler's identity 429 of FIG. 26 to hold.Second, in the prespacetime model the Euler's number e is the foundationof primordial distinctions shown in 430 of FIG. 26. Third, in theprespacetime model the Euler's number e is the foundation for generatingthe energy-momentum-mass relationship as shown 431 of FIG. 26. Fourth,in the prespacetime model the Euler's number e is the foundation forcreating, sustaining and making evolving the elementary particle asshown 432 of FIG. 26.

Further, in the prespacetime model, Euler's number e is the foundationof quantum entanglement or gravity in prespacetime.

It will be evident from the above that there are other embodiments whichare clearly within the scope and spirit of the present invention,although they were not expressly set forth above. Therefore, the abovedisclosure is exemplary only, and the actual scope of my invention is tobe determined by the claims.

What is claimed is: 1: A method for presenting and/or modelinggeneration of an energy-momentum-mass relationship of an elementaryparticle, as a research aide, teaching tool and/or game, comprising thesteps of: generating a first representation which comprises:$1 = {^{\; 0} = {^{{{- }\; L} + {\; L}} = {{\left( {{\cos \; L} - {\; \sin \; L}} \right)\left( {{\cos \; L} + {\; \sin \; L}} \right)} = {{\left( {\frac{m}{E} - {\frac{p}{E}}} \right)\left( {\frac{m}{E} + {\frac{p}{E}}} \right)} = {\left. \left( \frac{m^{2} + p^{2}}{E^{2}} \right)\rightarrow E^{2} \right. = {m^{2} + p^{2}}}}}}}$where e is natural exponential base, i is imaginary unit, L is a phase,E, m and p represent respectively energy, mass and momentum of saidelementary particle, and speed of light c is set equal to one; andpresenting and/or modeling said first representation in a device forresearch, teaching and/or game. 2: A method as in claim 1 wherein saidfirst representation is modified to include an electromagnetic potential(A,φ) generated by a second elementary particle, said modifiedrepresentation comprising:$1 = {^{\; 0} = {^{{{- }\; L} + {\; L}} = {{\left( {{\cos \; L} - {\; \sin \; L}} \right)\left( {{\cos \; L} + {\; \sin \; L}} \right)} = {{\left( {\frac{m}{E - {e\; \varphi}} - {\frac{{p - {eA}}}{E - {e\; \varphi}}}} \right)\left( {\frac{m}{E - {e\; \varphi}} + {\frac{{p - {eA}}}{E - {e\; \varphi}}}} \right)} = {\left. \left( \frac{m^{2} + {{p - {eA}}}^{2}}{\left( {E - {e\; \varphi}} \right)^{2}} \right)\rightarrow\left( {E - {e\; \varphi}} \right)^{2} \right. = {m^{2} + \left( {p - {eA}} \right)^{2}}}}}}}$where e next to φ or A is electric charge of said elementary particle.3: A method as in claim 1 for presenting and/or modeling generation of aself-referential matrix rule further comprising the steps of: generatinga second representation which comprises:${\left. \rightarrow 1 \right. = {\frac{E^{2} - m^{2}}{p^{2}} = {\left. {\left( \frac{E - m}{- {p}} \right)\left( \frac{- {p}}{E + m} \right)^{- 1}}\rightarrow\frac{E - m}{- {p}} \right. = {\left. \frac{- {p}}{E + m}\rightarrow{\frac{E - m}{- {p}} - \frac{- {p}}{E + m}} \right. = \left. 0\rightarrow\left. \begin{pmatrix}{E - m} & {- {p}} \\{- {p}} & {E + m}\end{pmatrix}\rightarrow{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & {E + m}\end{pmatrix}\mspace{14mu} {or}\mspace{14mu} \begin{pmatrix}{E - m} & {{- s} \cdot p} \\{{- s} \cdot p} & {E + m}\end{pmatrix}} \right. \right.}}}},{\left. \rightarrow 1 \right. = {\frac{E^{2} - p^{2}}{m^{2}} = {\left. {\left( \frac{E - {p}}{- m} \right)\left( \frac{- m}{E + {p}} \right)^{- 1}}\rightarrow\frac{E - {p}}{- m} \right. = {\left. \frac{- m}{E + {p}}\rightarrow{\frac{E - {p}}{- m} - \frac{- m}{E + {p}}} \right. = \left. 0\rightarrow\left. \begin{pmatrix}{E - {p}} & {- m} \\{- m} & {E + {p}}\end{pmatrix}\rightarrow{\begin{pmatrix}{E - {\sigma \cdot p}} & {- m} \\{- m} & {E + {\sigma \cdot p}}\end{pmatrix}\mspace{14mu} {or}\mspace{14mu} \begin{pmatrix}{E - {s \cdot p}} & {- m} \\{- m} & {E + {s \cdot p}}\end{pmatrix}} \right. \right.}}}},{\left. \rightarrow 1 \right. = {\frac{m^{2} + p^{2}}{E^{2}} = {\left. {\left( \frac{E}{{- m} + {i{p}}} \right)^{- 1}\left( \frac{{- m} - {i{p}}}{E} \right)}\rightarrow\frac{E}{{- m} + {i{p}}} \right. = {\left. \frac{{- m} - {i{p}}}{E}\rightarrow{\frac{E}{{- m} + {i{p}}} - \frac{{- m} - {i{p}}}{E}} \right. = \left. 0\rightarrow\left. \begin{pmatrix}E & {{- m} - {i{p}}} \\{{- m} + {i{p}}} & E\end{pmatrix}\rightarrow{\begin{pmatrix}E & {{- m} + {i\; {\sigma \cdot p}}} \\{{- m} + {i\; {\sigma \cdot p}}} & E\end{pmatrix}\mspace{14mu} {or}\mspace{14mu} \begin{pmatrix}E & {{- m} + {{is} \cdot p}} \\{{- m} + {{is} \cdot p}} & E\end{pmatrix}} \right. \right.}}}},{\left. {or}\rightarrow 1 \right. = {\frac{E^{2} - p_{i}^{2}}{m^{2}} = {\left. {\left( \frac{E - {p_{i}}}{- m} \right)\left( \frac{- m}{E + {p_{i}}} \right)^{- 1}}\rightarrow\frac{E - {p_{i}}}{- m} \right. = {\left. \frac{- m}{E + {p_{i}}}\rightarrow{\frac{E - {p_{i}}}{- m} - \frac{- m}{E + {p_{i}}}} \right. = \left. 0\rightarrow\left. \begin{pmatrix}{E - {p_{i}}} & {- m} \\{- m} & {E + {p_{i}}}\end{pmatrix}\rightarrow{\begin{pmatrix}{E - {\sigma \cdot p_{i}}} & {- m} \\{- m} & {E + {\sigma \cdot p_{i}}}\end{pmatrix}\mspace{14mu} {or}\mspace{14mu} \begin{pmatrix}{E - {s \cdot p_{i}}} & {- m} \\{- m} & {E + {s \cdot p_{i}}}\end{pmatrix}} \right. \right.}}}},$ where σ=(σ₁, σ₂, σ₃) are Paulimatrices, |p|=√{square root over (p²)}=√{square root over(−Det(σ·p))}→σ·p represents fermionic spinization of |p|, s=(s₁, s₂, s₃)are spin operators for spin 1 particle, |p|=√{square root over(p²)}=√{square root over (−(Det(s·p+I₃)−Det(I₃)))}{square root over(−(Det(s·p+I₃)−Det(I₃)))}→s·p represents bosonic spinization of|p|,p_(i) represents imaginary momentum, |p_(i)|=√{square root over(p_(i) ²)}=√{square root over (−Det(σ·p_(i)))}→σ·p_(i) representsfermionic spinization of |p_(i)|, and |p_(i)|=√{square root over (p_(i)²)}=√{square root over (−(Det(s·p_(i)+I₃)−Det(I₃)))}{square root over(−(Det(s·p_(i)+I₃)−Det(I₃)))}→s·P_(i) represents bosonic spinization of|p_(i)|; presenting and/or modeling said second representation in saiddevice for research, teaching and/or game. 4: A method for presentingand/or modeling generation, sustenance and evolution of an elementaryparticle, as a research aide, teaching tool and/or game, comprising thesteps of: generating a first representation of said generation,sustenance and evolution of said elementary particle, said firstrepresentation comprising:$1 = {^{\; 0} = {{^{\; 0}^{\; 0}} = {{^{{{- }\; L} + {\; L}}^{{{- }\; M} + {\; M}}} = {\left. {L_{e}{L_{i}^{- 1}\left( ^{{- }\; M} \right)}\left( ^{{- }\; M} \right)^{- 1}}\rightarrow{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}{A_{e}^{{- }\; M}} \\{A_{i}^{{- }\; M}}\end{pmatrix}} \right. = {{L_{M}\begin{pmatrix}\psi_{e} \\\psi_{i}\end{pmatrix}} = 0}}}}}$ where e is natural exponential base, i isimaginary unit, L is a first phase, M is a second phase,A_(e)e^(−iM)=ψ_(e) represents external object, A_(i)e^(−iM)=ψ_(i)represents internal object, L_(e) represents external rule, L_(i)represents internal rule, L=(L_(M,e) L_(M,i)) represents matrix rule,L_(M,e) represents external matrix rule and L_(M,i) represents internalmatrix rule; and presenting and/or modeling said first representation ina device for research, teaching and/or game. 5: A method as in claim 4wherein said external object comprises of an external wave function;said internal object comprises of an internal wave function; saidelementary particle comprises of a fermion, boson or unspinizedparticle; said matrix rule containing an energy operator E→i∂_(t),momentum operator p→−i∇, spin operator σ where σ=(σ₁, σ₂, σ₃) are Paulimatrices, spin operator S where S=(s₁, s₂, s₃) are spin 1 matrices,and/or mass; said matrix rule further having a determinant containingE²−p²−m²=0, E²−p²=0, E²−m²=0, or 0²−p²−m²=0; c=1 where cis speed oflight; and

=1 where

is reduced Planck constant. 6: A method as in claim 5 wherein firstrepresentation of said generation, sustenance and evolution of saidelementary particle comprises:$1 = {^{\; 0} = {{^{\; 0}^{\; 0}} = {{^{{{+ }\; L} - {\; L}}^{{{+ }\; M} - {\; M}}} = {{\left( {{\cos \; L} + {\; \sin \; L}} \right)\left( {{\cos \; L} - {\; \sin \; L}} \right)^{{{+ }\; M} - {\; M}}} = {{\left( {\frac{m}{E} + {i\frac{p}{E}}} \right)\left( {\frac{m}{E} - {i\frac{p}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {{\left( \frac{m^{2} + p^{2}}{E^{2}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {{\frac{E^{2} - m^{2}}{p^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {\left. {\left( \frac{E - m}{- {p}} \right)\left( \frac{- {p}}{E + m} \right)^{- 1}\left( ^{{- }\; p^{\mu}x_{\mu}} \right)\left( ^{{- }\; p^{\mu}x_{\mu}} \right)^{- 1}}\rightarrow{\frac{E - m}{- {p}}^{{- }\; p^{\mu}x_{\mu}}} \right. = {\left. {\frac{- {p}}{E + m}^{{- }\; p^{\mu}x_{\mu}}}\rightarrow{{\frac{E - m}{- {p}}^{{- }\; p^{\mu}x_{\mu}}} - {\frac{- {p}}{E + m}^{{- }\; p^{\mu}x_{\mu}}}} \right. = {\left. 0\rightarrow{\begin{pmatrix}{E - m} & {- {p}} \\{- {p}} & {E + m}\end{pmatrix}\begin{pmatrix}{a_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} \right. = {\left. 0\rightarrow{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} \right. = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e, +} \\\psi_{i, -}\end{pmatrix}} = {{0\mspace{14mu} {{or}\begin{pmatrix}{E - m} & {{- s} \cdot p} \\{{- s} \cdot p} & {E + m}\end{pmatrix}}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e, +} \\\psi_{i, -}\end{pmatrix}} = 0}}}}}}}}}}}}}}$ where ${\begin{pmatrix}{E - m} & {- {p}} \\{- {p}} & {E + m}\end{pmatrix}\begin{pmatrix}{a_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a first equation for said unspinized particle,${\begin{pmatrix}{E - m} & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is Dirac equation in Dirac form for said fermion,and ${\begin{pmatrix}{E - m} & {{- s} \cdot p} \\{{- s} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a first equation for said boson; $\begin{matrix}{1 = ^{i\; 0}} \\{= {^{i\; 0}^{i\; 0}}} \\{= {^{{+ {iL}} - {iL}}^{{+ {iM}} - {iM}}}} \\{= {\left( {{\cos \mspace{11mu} L} + {i\mspace{11mu} \sin \mspace{11mu} L}} \right)\left( {{\cos \mspace{11mu} L} - {i\mspace{11mu} \sin \mspace{11mu} L}} \right)^{{+ {iM}} - {iM}}}} \\{= {\left( {\frac{m}{E} + {i\; \frac{p}{E}}} \right)\left( {\frac{m}{E} - {i\; \frac{p}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}}} \\{= {\left( \frac{m^{2} + p^{2}}{E^{2}} \right)^{{\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}}} \\{= {\frac{E^{2} - p^{2}}{m^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}}} \\{= {{\left( \frac{E - {p}}{- m} \right)\left( \frac{- m}{E + {p}} \right)^{- 1}\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)^{- 1}}->{\frac{E - {p}}{- m}^{\; p^{\mu}x_{\mu}}}}} \\{= {{\frac{- m}{E + {p}}^{{+ }\; p^{\mu}x_{\mu}}}->{\frac{E - {p}}{- m}^{{- }\; p^{\mu}x_{\mu}}}}} \\{= {0->{\begin{pmatrix}{E - {p}} & {- m} \\{- m} & {E + {p}}\end{pmatrix}\begin{pmatrix}{a_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}}}} \\{= {0->{\begin{pmatrix}{E - {\sigma \cdot p}} & {- m} \\{- m} & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}}}} \\{= {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e,l} \\\psi_{i,r}\end{pmatrix}} = {0\mspace{14mu} {or}}}} \\{{\begin{pmatrix}{E - {s \cdot p}} & {- m} \\{- m} & {E + {p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- {p}^{\mu}}x_{\mu}}}\end{pmatrix}}} \\{= {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e,l} \\\psi_{i,r}\end{pmatrix}} = 0}}\end{matrix}$ where ${\begin{pmatrix}{E - {p}} & {- m} \\{- m} & {E + {p}}\end{pmatrix}\begin{pmatrix}{a_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a second equation for said unspinized particle,${\begin{pmatrix}{E - {\sigma \cdot p}} & {- m} \\{- m} & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is Dirac equation in Weyl form for said fermion, and${\begin{pmatrix}{E - {s \cdot p}} & {- m} \\{- m} & {E + {s \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a second equation for said boson; $\begin{matrix}{1 = ^{i\; 0}} \\{= {^{i\; 0}^{i\; 0}}} \\{= {^{{+ {iL}} - {iL}}^{{+ {iM}} - {iM}}}} \\{= {\left( {{\cos \mspace{11mu} L} + {i\; \sin \; L}} \right)\left( {{\cos \; L} - {i\; \sin \; L}} \right)^{{+ {iM}} - {iM}}}} \\{= {\left( {\frac{m}{E} + {i\frac{p}{E}}} \right)\left( {\frac{m}{E} - {i\; \frac{p}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}}} \\{= {{\left( \frac{E}{{- m} + {i{p}}} \right)\left( \frac{{- m} - {i{p}}}{E} \right)^{- 1}\left( ^{{- }\; p^{\mu}x_{\mu}} \right)\left( ^{{- }\; p^{\mu}x_{\mu}} \right)^{- 1}}->}} \\{{\frac{E}{{- m} + {i{p}}}^{{- }\; p^{\mu}x_{\mu}}}} \\{= {{{\frac{{- m} - {i{p}}}{E}^{{- }\; p^{\mu}x_{\mu}}}->{{\frac{E}{{- m} + {i{p}}}^{{- }\; p^{\mu}x_{\mu}}} - {\frac{{- m} - {i{p}}}{E}^{{- }\; p^{\mu}x_{\mu}}}}} = 0}} \\{{{->{\begin{pmatrix}E & {{- m} - {i{p}}} \\{{- m} + {i{p}}} & E\end{pmatrix}\begin{pmatrix}{a_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}}} = 0}} \\{{{->{\begin{pmatrix}E & {{- m} - {i\; {\sigma \cdot p}}} \\{{- m} + {i\; {\sigma \cdot p}}} & E\end{pmatrix}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}}} = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e} \\\psi_{i}\end{pmatrix}} = 0}}} \\{{or}} \\{{{\begin{pmatrix}E & {{- m} - {{is} \cdot p}} \\{{- m} + {{is} \cdot p}} & E\end{pmatrix}\begin{pmatrix}{A_{e}^{{- {p}^{\mu}}x_{\mu}}} \\{A_{i}^{{- {p}^{\mu}}x_{\mu}}}\end{pmatrix}} = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e} \\\psi_{i}\end{pmatrix}} = 0}}}\end{matrix}$ where ${\begin{pmatrix}E & {{- m} - {i{p}}} \\{{- m} + {i{p}}} & E\end{pmatrix}\begin{pmatrix}{a_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a third equation for said unspinized particle,${\begin{pmatrix}E & {{- m} - {i\; {\sigma \cdot p}}} \\{{- m} + {i\; {\sigma \cdot p}}} & E\end{pmatrix}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is Dirac equation in a third form for said fermion,and ${\begin{pmatrix}E & {{- m} - {i\; {s \cdot p}}} \\{{- m} + {i\; {s \cdot p}}} & E\end{pmatrix}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a third equation for said boson; or$\begin{matrix}{1 = ^{i\; 0}} \\{= {^{i\; 0}^{i\; 0}}} \\{= {^{{+ {iL}} - {iL}}^{{+ {iM}} - {iM}}}} \\{= {\left( {{\cos \mspace{11mu} L} + {i\; \sin \; L}} \right)\left( {{\cos \; L} - {i\; \sin \; L}} \right)^{{+ {iM}} - {iM}}}} \\{= {\left( {\frac{m}{E} + {i\frac{p_{i}}{E}}} \right)\left( {\frac{m}{E} - {i\; \frac{p_{i}}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}}} \\{= {\left( \frac{m^{2} + p_{i}^{2}}{E^{2}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}}} \\{= {\frac{E^{2} - m^{2}}{p_{i}^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}}} \\{= \left. {\left( \frac{E - m}{- {p_{i}}} \right)\left( \frac{- {p_{i}}}{E + m} \right)^{- 1}\left( ^{{p}^{\mu}x_{\mu}} \right)\left( ^{{- {p}^{\mu}}x_{\mu}} \right)^{- 1}}\rightarrow \right.} \\{{{\frac{E - m}{- {p_{i}}}^{{- }\; p^{\mu}x_{\mu}}} = \left. {\frac{- {p_{i}}}{E + m}^{{- }\; p^{\mu}x_{\mu}}}\rightarrow \right.}} \\{{{\frac{E - m}{- p_{i}}^{{- }\; p^{\mu}x_{\mu}}} = {{\frac{- {p_{i}}}{E + m}^{{- }\; p^{\mu}x_{\mu}}} = \left. 0\rightarrow \right.}}} \\{{{\begin{pmatrix}{E - m} & {- {p_{i}}} \\{- {p_{i\;}}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, +}^{{- }\; {Et}}} \\{s_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = {0->}}} \\{{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p_{i}} \\{{- \sigma} \cdot p_{i}} & {E + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; E\; t}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}}} \\{= {\left( {L_{M,e}\mspace{20mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e, +} \\\psi\end{pmatrix}}} \\{{or}} \\{{{\begin{pmatrix}{E - m} & {{- s} \cdot p_{i}} \\{{- s} \cdot p_{i}} & {E + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = {\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e, +} \\\psi_{i, -}\end{pmatrix}}}} \\{= 0}\end{matrix}$ where ${\begin{pmatrix}{E - m} & {- {p_{i}}} \\{- {p_{i}}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, +}^{{- }\; {Et}}} \\{s_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0$ is a first equation for said unspinized particlewith said imaginary momentum $p_{i},{{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p_{i}} \\{{- \sigma} \cdot p_{i}} & {E + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0}$ is Dirac equation in Dirac form for said fermionwith said imaginary momentum p_(i), and ${\begin{pmatrix}{E - m} & {{- s} \cdot p_{i}} \\{{- s} \cdot p_{i}} & {E + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0$ is a first equation for said boson with saidimaginary momentum p_(i). 7: A method as in claim 6 wherein saidelementary particle comprises of: an electron, equation of said electronbeing modeled as: ${{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p}} & {- m} \\{- m} & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- m} - {i\; {\sigma \cdot p}}} \\{{- m} + {i\; {\sigma \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ a positron, equation of said positron beingmodeled as: ${{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, -}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i, +}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p}} & {- m} \\{- m} & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,r}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i,l}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- m} - {i\; {\sigma \cdot p}}} \\{{- m} + {i\; {\sigma \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ a massless neutrino, equation of said neutrinobeing modeled as: ${{\begin{pmatrix}E & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & E\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p}} & \; \\\; & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- i}\; {\sigma \cdot p}} \\{{+ i}\; {\sigma \cdot p}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ A massless antineutrino, equation of saidantineutrino being modeled as: ${{\begin{pmatrix}E & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & E\end{pmatrix}\begin{pmatrix}{A_{e, -}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i, +}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p}} & \; \\\; & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,r}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i,l}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- i}\; {\sigma \cdot p}} \\{{+ i}\; {\sigma \cdot p}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ a massive spin 1 boson, equation of said massivespin 1 boson being modeled as: ${{\begin{pmatrix}{E - m} & {{- s} \cdot p} \\{{- s} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {s \cdot p}} & {- m} \\{- m} & {E + {s \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- m} - {i\; {s \cdot p}}} \\{{- m} + {i\; {s \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ a massive spin 1 antiboson, equation of saidmassive spin 1 antiboson being modeled as: ${{\begin{pmatrix}{E - m} & {{- s} \cdot p} \\{{- s} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, -}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i, +}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {s \cdot p}} & {- m} \\{- m} & {E + {s \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,r}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i,l}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- m} - {i\; {s \cdot p}}} \\{{- m} + {i\; {s \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ a massless spin 1 boson, equation of said masslessspin 1 boson being modeled as: ${{\begin{pmatrix}E & {{- s} \cdot p} \\{{- s} \cdot p} & E\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = {\begin{pmatrix}E & {{- s} \cdot p} \\{{- s} \cdot p} & E\end{pmatrix}\begin{pmatrix}E \\{i\; B}\end{pmatrix}0}},{{\begin{pmatrix}{E - {s \cdot p}} & \; \\\; & {E + {s \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{or}\begin{pmatrix}E & {{- i}\; {s \cdot p}} \\{{+ i}\; {s \cdot p}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ where ${\begin{pmatrix}E & {{- s} \cdot p} \\{{- s} \cdot p} & E\end{pmatrix}\begin{pmatrix}E \\{i\; B}\end{pmatrix}} = 0$ is equivalent to Maxwell equation $\begin{pmatrix}{{\partial_{t}E} = {\nabla{\times B}}} \\{{\partial_{t}B} = {{- \nabla} \times E}}\end{pmatrix};$ a massless spin 1 antiboson, equation of said masslessspin 1 antiboson being modeled as: ${{\begin{pmatrix}E & {{- s} \cdot p} \\{{- s} \cdot p} & E\end{pmatrix}\begin{pmatrix}{A_{e, -}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i, +}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {s \cdot p}} & \; \\\; & {E + {s \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,r}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i,l}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- i}\; {s \cdot p}} \\{{- m} + {i\; {s \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ an antiproton, equation of said antiproton beingmodeled as: ${{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p_{i}} \\{{- \sigma} \cdot p_{i}} & {E + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p_{i}}} & {- m} \\{- m} & {E + {\sigma \cdot p_{i}}}\end{pmatrix}\begin{pmatrix}{S_{e,l}^{{- }\; {Et}}} \\{S_{i,r}^{{- }\; {Et}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- m} - {i\; {\sigma \cdot p_{i}}}} \\{{- m} + {i\; {\sigma \cdot p_{i}}}} & E\end{pmatrix}}\begin{pmatrix}{S_{e}^{{- }\; {Et}}} \\{S_{i}^{{- }\; {Et}}}\end{pmatrix}} = 0};{or}$ a proton, equation of said proton beingmodeled as: ${{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p_{i}} \\{{- \sigma} \cdot p_{i}} & {E + m}\end{pmatrix}\begin{pmatrix}{S_{e, -}^{{+ }\; {Et}}} \\{S_{i, +}^{{+ }\; {Et}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p_{i}}} & {- m} \\{- m} & {E + {\sigma \cdot p_{i}}}\end{pmatrix}\begin{pmatrix}{S_{e,r}^{{+ }\; {Et}}} \\{S_{i,l}^{{+ }\; {Et}}}\end{pmatrix}} = 0}$ ${{{or}\begin{pmatrix}E & {{- m} - {i\; {\sigma \cdot p_{i}}}} \\{{- m} + {i\; {\sigma \cdot p_{i}}}} & E\end{pmatrix}}\begin{pmatrix}{S_{e}^{{+ }\; {Et}}} \\{S_{i}^{{+ }\; {Et}}}\end{pmatrix}} = 0.$ 8: A method as in claim 6 wherein said elementaryparticle comprises an electron and said first representation is modifiedto include a proton, said proton being modeled as a second elementaryparticle, and interaction fields of said electron and said proton, saidmodified first representation comprising: $\begin{matrix}{1 = ^{i\; 0}} \\{= {^{i\; 0}^{i\; 0}^{i\; 0}^{i\; 0}}} \\{= {\left( {^{i\; 0}^{i\; 0}} \right)_{p}\left( {^{i\; 0}^{i\; 0}} \right)_{e}}} \\{= {\left( {^{{+ {iL}} - {iM}}^{{+ {iM}} - {iM}}} \right)_{p}\left( {^{{- {iL}} + {iL}}^{{- {iM}} + {iM}}} \right)_{e}}} \\{= {\left( {\left( {{\cos \mspace{11mu} L} + {i\; \sin \; L}} \right)\left( {{\cos \mspace{11mu} L} - {i\; \sin \; L}} \right)^{{+ {iM}} - {iM}}} \right)_{p}\left( {\left( {{\cos \; L} - {i\; \sin \; L}} \right)\left( {{\cos \; L} + {i\; \sin \; L}} \right)} \right.}} \\\left. ^{{- {iM}} + {iM}} \right)_{e} \\{= \left( {\left( {\frac{m}{E} + {i\frac{p_{i}}{E}}} \right)\left( {\frac{m}{E} - {i\frac{p_{i}}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {{p}^{\mu}x_{\mu}}}} \right)_{p}} \\{\left( {\left( {\frac{m}{E} - {i\frac{p}{E}}} \right)\left( {\frac{m}{E} + {i\frac{p}{E}}} \right)^{{\; p^{\mu}x_{\mu}} + {{o}^{\mu}x_{\mu}}}} \right)_{e}} \\{= {\left( {\frac{m^{2} + p_{i}^{2}}{E^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} \right)_{p}\left( {\frac{m^{2} + p^{2}}{E^{2}}^{{{- }\; p^{\mu}x_{\mu}} + {\; p^{\mu}x_{\mu}}}} \right)_{e}}} \\{= {\left( {\frac{E^{2} - m^{2}}{p_{i}^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} \right)_{p}\left( {\frac{E^{2} - m^{2}}{p^{2}}^{{{- }\; p^{\mu}x_{\mu}} + {\; p^{\mu}x_{\mu}}}} \right)_{e}}} \\{= \left( {\left( \frac{E - m}{- {p_{i}}} \right)\left( \frac{- {p_{i\;}}}{E + m} \right)^{- 1}\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)^{- 1}} \right)_{p}} \\{\left( {\left( \frac{E - m}{- {p}} \right)\left( \frac{- {p}}{E + m} \right)^{- 1}\left( ^{{- }\; p^{\mu}x_{\mu}} \right)\left( ^{{- }\; p^{\mu}x_{\mu}} \right)^{- 1}} \right)_{e}} \\{{->\left( {{\begin{pmatrix}{E - m} & {- {p_{i}}} \\{- {p_{i}}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, -}^{{+ }\; {Et}}} \\{s_{i, +}^{{+ }\; {Et}}}\end{pmatrix}} = 0} \right)_{p}}} \\{\left( {{\begin{pmatrix}{E - m} & {- {p}} \\{- {p}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, +}^{{- }\; {Et}}} \\{s_{i, -}^{\; {Et}}}\end{pmatrix}} = 0} \right)_{e}} \\{{->\begin{pmatrix}\left( {{\begin{pmatrix}{E - {e\; \varphi} - m} & {{- \sigma} \cdot \left( {p_{i} - {e\; A}} \right)} \\{{- \sigma} \cdot \left( {p_{i} - {e\; A}} \right)} & {E - {e\; \varphi} + m}\end{pmatrix}\begin{pmatrix}{S_{e, -}^{{+ }\; {Et}}} \\{S_{i, +}^{{+ }\; {Et}}}\end{pmatrix}} = 0} \right)_{p} \\\left( {{\begin{pmatrix}{E + {e\; \varphi} - m} & {{- \sigma} \cdot \left( {p + {e\; A}} \right)} \\{{- \sigma} \cdot \left( {p + {e\; A}} \right)} & {E + {e\; \varphi} + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0} \right)_{e}\end{pmatrix}}}\end{matrix}$ where ( )_(e) denotes electron, ( )_(p) denotes proton and(( )_(e)( )_(p)) denotes an electron-proton system. 9: A method as inclaim 6 wherein said elementary particle comprises an electron and saidfirst representation is modified to include a unspinized proton, saidunspinized proton being modeled as a second elementary particle, andinteraction fields of said electron and said unspinized proton, saidmodified first representation comprising: $\begin{matrix}{1 = ^{i\; 0}} \\{= {^{i\; 0}^{i\; 0}^{i\; 0}^{i\; 0}}} \\{= {\left( {^{i\; 0}^{i\; 0}} \right)_{p}\left( {^{i\; 0}^{i\; 0}} \right)_{e}}} \\{= {\left( {^{{+ {iL}} - {iM}}^{{+ {iM}} - {iM}}} \right)_{p}\left( {^{{- {iL}} + {iL}}^{{- {iM}} + {iM}}} \right)_{e}}} \\{= {\left( {\left( {{\cos \mspace{11mu} L} + {i\; \sin \; L}} \right)\left( {{\cos \mspace{11mu} L} - {i\; \sin \; L}} \right)^{{+ {iM}} - {iM}}} \right)_{p}\left( {\left( {{\cos \; L} - {i\; \sin \; L}} \right)\left( {{\cos \; L} + {i\; \sin \; L}} \right)} \right.}} \\\left. ^{{- {iM}} + {iM}} \right)_{e} \\{= \left( {\left( {\frac{m}{E} + {i\frac{p_{i}}{E}}} \right)\left( {\frac{m}{E} - {i\frac{p_{i}}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {{p}^{\mu}x_{\mu}}}} \right)_{p}} \\{\left( {\left( {\frac{m}{E} - {i\frac{p}{E}}} \right)\left( {\frac{m}{E} + {i\frac{p}{E}}} \right)^{{\; p^{\mu}x_{\mu}} + {{o}^{\mu}x_{\mu}}}} \right)_{e}} \\{= {\left( {\frac{m^{2} + p_{i}^{2}}{E^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} \right)_{p}\left( {\frac{m^{2} + p^{2}}{E^{2}}^{{{- }\; p^{\mu}x_{\mu}} + {\; p^{\mu}x_{\mu}}}} \right)_{e}}} \\{= {\left( {\frac{E^{2} - m^{2}}{p_{i}^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} \right)_{p}\left( {\frac{E^{2} - m^{2}}{p^{2}}^{{{- }\; p^{\mu}x_{\mu}} + {\; p^{\mu}x_{\mu}}}} \right)_{e}}} \\{= \left( {\left( \frac{E - m}{- {p_{i}}} \right)\left( \frac{- {p_{i\;}}}{E + m} \right)^{- 1}\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)^{- 1}} \right)_{p}} \\{\left( {\left( \frac{E - m}{- {p}} \right)\left( \frac{- {p}}{E + m} \right)^{- 1}\left( ^{{- }\; p^{\mu}x_{\mu}} \right)\left( ^{{- }\; p^{\mu}x_{\mu}} \right)^{- 1}} \right)_{e}} \\{{->\left( {{\begin{pmatrix}{E - m} & {- {p_{i}}} \\{- {p_{i}}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, -}^{{+ }\; {Et}}} \\{s_{i, +}^{{+ }\; {Et}}}\end{pmatrix}} = 0} \right)_{p}}} \\{\left( {{\begin{pmatrix}{E - m} & {- {p}} \\{- {p}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, +}^{{- }\; {Et}}} \\{s_{i, -}^{\; {Et}}}\end{pmatrix}} = 0} \right)_{e}} \\{{->\begin{pmatrix}\left( {{\begin{pmatrix}{E - {e\; \varphi} - m} & {- {{p_{i} - {e\; A}}}} \\{- {{p_{i} - {e\; A}}}} & {E - {e\; \varphi} + m}\end{pmatrix}\begin{pmatrix}{S_{e, -}^{{+ }\; {Et}}} \\{S_{i, +}^{{+ }\; {Et}}}\end{pmatrix}} = 0} \right)_{p} \\\left( {{\begin{pmatrix}{E + {e\; \varphi} - V - m} & {{- \sigma} \cdot \left( {p + {e\; A}} \right)} \\{{- \sigma} \cdot \left( {p + {e\; A}} \right)} & {E + {e\; \varphi} - V + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0} \right)_{e}\end{pmatrix}}}\end{matrix}$ where ( )_(e) denotes electron, ( )_(p) denotes unspinizedproton and (( )_(e)( )_(p)) denotes an electron-unspinized protonsystem. 10: A model for presenting and/or modeling generation,sustenance and evolution of an elementary particle, as a research aide,teaching tool and/or game, comprising: a drawing which represents saidgeneration, sustenance and evolution of said elementary particle, saiddrawing comprising: $\begin{matrix}{1 = ^{i\; 0}} \\{= {^{i\; 0}^{i\; 0}}} \\{= {^{{iL} + {iL}}^{{- {iM}} + {iM}}}} \\{= {{L_{e}{L_{i}^{- 1}\left( ^{- {iM}} \right)}\left( ^{- {iM}} \right)^{- 1}}->}} \\{{{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}{A_{e}^{- {iM}}} \\{A_{i}^{- {iM}}}\end{pmatrix}} = {{L_{M}\begin{pmatrix}\psi_{e} \\\psi_{i}\end{pmatrix}} = 0}}}\end{matrix}$ where e is natural exponential base, i is imaginary unit,L is a first phase, M is a second phase, A_(e)e^(−iM)=ψ_(e) representsexternal object, A_(i)e^(−iM)=ψ_(i) represents internal object, L_(e)represents external rule, L_(i) represents internal rule, L=(L_(M,e)L_(M,i)) represents matrix rule, L_(M,e) represents external matrix ruleand L_(M,i) represents internal matrix rule; and a device for presentingand/or modeling said drawing. 11: A model as in claim 10 wherein saidexternal object comprises of an external wave function; said internalobject comprises of an internal wave function; said elementary particlecomprises of a fermion, boson or unspinized particle; said matrix rulecontaining an energy operator E→i∂_(t), momentum operator p→−i∇, spinoperator σ where σ=(σ₁, σ₂, σ₃) are Pauli matrices, spin operator Swhere S=(s₁, s₂, s₃) are spin 1 matrices, and/or mass; said matrix rulefurther having a determinant containing E²−p²−m²=0, E²−p²=0, E²−m²=0, or0²−p²−m²=0; c=1 where cis speed of light; and

=1 where

is reduced Planck constant. 12: A model as in claim 11 wherein saiddrawing of said generation, sustenance and evolution of said elementaryparticle comprises:$1 = {^{\; 0} = {{^{\; 0}^{\; 0}} = {{^{{{+ }\; L} - {\; L}}^{{{+ }\; M} - {\; M}}} = {{\left( {{\cos \; L} + {\; \sin \; L}} \right)\left( {{\cos \; L} - {\; \sin \; L}} \right)^{{{+ }\; M} - {\; M}}} = {{\left( {\frac{m}{E} + {\frac{p}{E}}} \right)\left( {\frac{m}{E} - {\frac{p}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {{\left( \frac{m^{2} + p^{2}}{E^{2}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {{\frac{E^{2} - m^{2}}{p^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {\left. {\left( \frac{E - m}{- {p}} \right)\left( \frac{- {p}}{E + m} \right)^{- 1}\left( ^{{- }\; p^{\mu}x_{\mu}} \right)\left( ^{{- }\; p^{\mu}x_{\mu}} \right)^{- 1}}\rightarrow{\frac{E - m}{- {p}}^{{- }\; p^{\mu}x_{\mu}}} \right. = {\left. {\frac{- {p}}{E + m}^{{- }\; p^{\mu}x_{\mu}}}\rightarrow{{\frac{E - m}{- {p}}^{{- }\; p^{\mu}x_{\mu}}} - {\frac{- {p}}{E + m}^{{- }\; p^{\mu}x_{\mu}}}} \right. = {\left. 0\rightarrow{\begin{pmatrix}{E - m} & {- {p}} \\{- {p}} & {E + m}\end{pmatrix}\begin{pmatrix}{a_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} \right. = {\left. 0\rightarrow{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & {E + m}\end{pmatrix} \begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} \right. = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e, +} \\\psi_{i, -}\end{pmatrix}} = {{0\mspace{14mu} {{or}\begin{pmatrix}{E - m} & {{- s} \cdot p} \\{{- s} \cdot p} & {E + m}\end{pmatrix}}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e, +} \\\psi_{i, -}\end{pmatrix}} = 0}}}}}}}}}}}}}}$ where ${\begin{pmatrix}{E - m} & {- {p}} \\{- {p}} & {E + m}\end{pmatrix}\begin{pmatrix}{a_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a first equation for said unspinized particle,${\begin{pmatrix}{E - m} & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is Dirac equation in Dirac form for said fermion,and ${\begin{pmatrix}{E - m} & {{- s} \cdot p} \\{{- s} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a first equation for said boson;$1 = {^{\; 0} = {{^{\; 0}^{\; 0}} = {{^{{{+ }\; L} - {\; L}}^{{{+ }\; M} - {\; M}}} = {{\left( {{\cos \; L} + {\; \sin \; L}} \right)\left( {{\cos \; L} - {\; \sin \; L}} \right)^{{{+ }\; M} - {\; M}}} = {{\left( {\frac{m}{E} + {\frac{p}{E}}} \right)\left( {\frac{m}{E} - {\frac{p}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {{\left( \frac{m^{2} + p^{2}}{E^{2}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {{\frac{E^{2} - p^{2}}{m^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {\left. {\left( \frac{E - {p}}{- m} \right)\left( \frac{- m}{E + {p}} \right)^{- 1}\left( ^{{- }\; p^{\mu}x_{\mu}} \right)\left( ^{{- }\; p^{\mu}x_{\mu}} \right)^{- 1}}\rightarrow{\frac{E - {p}}{- m}^{{- }\; p^{\mu}x_{\mu}}} \right. = {\left. {\frac{- m}{E + {p}}^{{- }\; p^{\mu}x_{\mu}}}\rightarrow{{\frac{E - {p}}{- m}^{{- }\; p^{\mu}x_{\mu}}} - {\frac{- m}{E + {p}}^{{- }\; p^{\mu}x_{\mu}}}} \right. = {\left. 0\rightarrow{\begin{pmatrix}{E - {p}} & {- m} \\{- m} & {E + {p}}\end{pmatrix}\begin{pmatrix}{a_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} \right. = {\left. 0\rightarrow{\begin{pmatrix}{E - {\sigma \cdot p}} & {- m} \\{- m} & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} \right. = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e,l} \\\psi_{i,r}\end{pmatrix}} = {{0\mspace{14mu} {{or}\begin{pmatrix}{E - {s \cdot p}} & {- m} \\{- m} & {E + {s \cdot p}}\end{pmatrix}}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e,l} \\\psi_{i,r}\end{pmatrix}} = 0}}}}}}}}}}}}}}$ where ${\begin{pmatrix}{E - {p}} & {- m} \\{- m} & {E + {p}}\end{pmatrix}\begin{pmatrix}{a_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a second equation for said unspinized particle,${\begin{pmatrix}{E - {\sigma \cdot p}} & {- m} \\{- m} & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is Dirac equation in Weyl form for said fermion, and${\begin{pmatrix}{E - {s \cdot p}} & {- m} \\{- m} & {E + {s \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a second equation for said boson;$1 = {^{\; 0} = {{^{\; 0}^{\; 0}} = {{^{{{+ }\; L} - {\; L}}^{{{+ }\; M} - {\; M}}} = {{\left( {{\cos \; L} + {\; \sin \; L}} \right)\left( {{\cos \; L} - {\; \sin \; L}} \right)^{{{+ }\; M} - {\; M}}} = {{\left( {\frac{m}{E} + {\frac{p}{E}}} \right)\left( {\frac{m}{E} - {\frac{p}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {\left. {\left( \frac{E}{{- m} + {{p}}} \right)\left( \frac{{- m} - {{p}}}{E} \right)^{- 1}\left( ^{{- }\; p^{\mu}x_{\mu}} \right)\left( ^{{- }\; p^{\mu}x_{\mu}} \right)^{- 1}}\rightarrow{\frac{E}{{- m} + {{p}}}^{{- }\; p^{\mu}x_{\mu}}} \right. = {\left. {\frac{{- m} - {{p}}}{E}^{{- }\; p^{\mu}x_{\mu}}}\rightarrow{{\frac{E}{{- m} + {{p}}}^{{- }\; p^{\mu}x_{\mu}}} - {\frac{{- m} - {{p}}}{E}^{{- }\; p^{\mu}x_{\mu}}}} \right. = {\left. 0\rightarrow{\begin{pmatrix}E & {{- m} - {{p}}} \\{{- m} + {{p}}} & E\end{pmatrix}\begin{pmatrix}{a_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} \right. = {\left. 0\rightarrow{\begin{pmatrix}E & {{- m} - {{\sigma} \cdot p}} \\{{- m} + {{\sigma} \cdot p}} & E\end{pmatrix}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} \right. = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e} \\\psi_{i}\end{pmatrix}} = {{0\mspace{14mu} {{or}\begin{pmatrix}E & {{- m} - {\; {s \cdot p}}} \\{{- m} + {\; {s \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e} \\\psi_{i}\end{pmatrix}} = 0}}}}}}}}}}}}$ where ${\begin{pmatrix}E & {{- m} - {{p}}} \\{{- m} + {{p}}} & E\end{pmatrix}\begin{pmatrix}{a_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{a_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a third equation for said unspinized particle,${\begin{pmatrix}E & {{- m} - {{\sigma} \cdot p}} \\{{- m} + {{\sigma} \cdot p}} & E\end{pmatrix}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is Dirac equation in a third form for said fermion,and ${\begin{pmatrix}E & {{- m} - {\; {s \cdot p}}} \\{{- m} + {\; {s \cdot p}}} & E\end{pmatrix}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ is a third equation for said boson; or$1 = {^{\; 0} = {{^{\; 0}^{\; 0}} = {{^{{{+ }\; L} - {\; L}}^{{{+ }\; M} - {\; M}}} = {{\left( {{\cos \; L} + {\; \sin \; L}} \right)\left( {{\cos \; L} - {\; \sin \; L}} \right)^{{{+ }\; M} - {\; M}}} = {{\left( {\frac{m}{E} + {\frac{p_{i}}{E}}} \right)\left( {\frac{m}{E} - {\frac{p_{i}}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {{\left( \frac{m^{2} + p_{i}^{2}}{E^{2}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {{\frac{E^{2} - m^{2}}{p_{i}^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} = {\left. {\left( \frac{E - m}{- {p_{i}}} \right)\left( \frac{- {p_{i}}}{E + m} \right)^{- 1}\left( ^{{- }\; p^{\mu}x_{\mu}} \right)\left( ^{{- }\; p^{\mu}x_{\mu}} \right)^{- 1}}\rightarrow{\frac{E - m}{- {p_{i}}}^{{- }\; p^{\mu}x_{\mu}}} \right. = {\left. {\frac{- {p_{i}}}{E + m}^{{- }\; p^{\mu}x_{\mu}}}\rightarrow{{\frac{E - m}{- p_{i}}^{{- }\; p^{\mu}x_{\mu}}} - {\frac{- {p_{i}}}{E + m}^{{- }\; p^{\mu}x_{\mu}}}} \right. = {\left. 0\rightarrow{\begin{pmatrix}{E - m} & {- {p_{i}}} \\{- {p_{i}}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, +}^{{- }\; {Et}}} \\{s_{i, -}^{{- }\; {Et}}}\end{pmatrix}} \right. = {\left. 0\rightarrow{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p_{i}} \\{{- \sigma} \cdot p_{i}} & {E + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} \right. = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e, +} \\\psi_{i, -}\end{pmatrix}} = {{0\mspace{14mu} {{or}\begin{pmatrix}{E - m} & {{- s} \cdot p_{i}} \\{{- s} \cdot p_{i}} & {E + m}\end{pmatrix}}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = {{\left( {L_{M,e}\mspace{14mu} L_{M,i}} \right)\begin{pmatrix}\psi_{e, +} \\\psi_{i, -}\end{pmatrix}} = 0}}}}}}}}}}}}}}$ where ${\begin{pmatrix}{E - m} & {- {p_{i}}} \\{- {p_{i}}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, +}^{{- }\; {Et}}} \\{s_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0$ is a first equation for said unspinized particlewith said imaginary momentum p_(i), ${\begin{pmatrix}{E - m} & {{- \sigma} \cdot p_{i}} \\{{- \sigma} \cdot p_{i}} & {E + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0$ is Dirac equation in Dirac form for said fermionwith said imaginary momentum p_(i), and ${\begin{pmatrix}{E - m} & {{- s} \cdot p_{i}} \\{{- s} \cdot p_{i}} & {E + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0$ is a first equation for said boson with saidimaginary momentum p_(i). 13: A model as in claim 12 wherein saidelementary particle comprises of: an electron, equation of said electronbeing modeled as: ${{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p}} & {- m} \\{- m} & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- m} - {i\; {\sigma \cdot p}}} \\{{- m} + {i\; {\sigma \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ a positron, equation of said positron beingmodeled as: ${{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, -}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i, +}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p}} & {- m} \\{- m} & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,r}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i,l}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- m} - {i\; {\sigma \cdot p}}} \\{{- m} + {i\; {\sigma \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ a massless neutrino, equation of said neutrinobeing modeled as: ${{\begin{pmatrix}E & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & E\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p}} & \; \\\; & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- i}\; {\sigma \cdot p}} \\{{+ i}\; {\sigma \cdot p}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ A massless antineutrino, equation of saidantineutrino being modeled as: ${{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p} \\{{- \sigma} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p}} & {- m} \\{- m} & {E + {\sigma \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- m} - {i\; {\sigma \cdot p}}} \\{{- m} + {i\; {\sigma \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ a massive spin 1 boson, equation of said massivespin 1 boson being modeled as: ${{\begin{pmatrix}{E - m} & {{- s} \cdot p} \\{{- s} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {s \cdot p}} & {- m} \\{- m} & {E + {s \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- m} - {i\; {s \cdot p}}} \\{{- m} + {i\; {s \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ a massive spin 1 antiboson, equation of saidmassive spin 1 antiboson being modeled as: ${{\begin{pmatrix}{E - m} & {{- s} \cdot p} \\{{- s} \cdot p} & {E + m}\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {s \cdot p}} & {- m} \\{- m} & {E + {s \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- m} - {i\; {s \cdot p}}} \\{{- m} + {i\; {s \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ a massless spin 1 boson, equation of said masslessspin 1 boson being modeled as: ${{\begin{pmatrix}E & {{- s} \cdot p} \\{{- s} \cdot p} & E\end{pmatrix}\begin{pmatrix}{A_{e, +}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i, -}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = {{\begin{pmatrix}E & {{- s} \cdot p} \\{{- s} \cdot p} & E\end{pmatrix}\begin{pmatrix}E \\{i\; B}\end{pmatrix}} = 0}},{{\begin{pmatrix}{E - {s \cdot p}} & \; \\\; & {E + {s \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,l}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i,r}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{or}\begin{pmatrix}E & {{- i}\; {s \cdot p}} \\{{+ i}\; {s \cdot p}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{- }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{- }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0$ where ${\begin{pmatrix}E & {{- s} \cdot p} \\{{- s} \cdot p} & E\end{pmatrix}\begin{pmatrix}E \\{i\; B}\end{pmatrix}} = 0$ is equivalent to Maxwell equation $\begin{pmatrix}{{\partial_{t}E} = {\nabla{\times B}}} \\{{\partial_{t}B} = {{- \nabla} \times E}}\end{pmatrix};$ a massless spin 1 antiboson, equation of said masslessspin 1 antiboson being modeled as: ${{\begin{pmatrix}E & {{- s} \cdot p} \\{{- s} \cdot p} & E\end{pmatrix}\begin{pmatrix}{A_{e, -}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i, +}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {s \cdot p}} & \; \\\; & {E + {s \cdot p}}\end{pmatrix}\begin{pmatrix}{A_{e,r}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i,l}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- i}\; {s \cdot p}} \\{{- m} + {i\; {s \cdot p}}} & E\end{pmatrix}}\begin{pmatrix}{A_{e}^{{+ }\; p^{\mu}x_{\mu}}} \\{A_{i}^{{+ }\; p^{\mu}x_{\mu}}}\end{pmatrix}} = 0};$ an antiproton, equation of said antiproton beingmodeled as: ${{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p_{i}} \\{{- \sigma} \cdot p_{i}} & {E + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p_{i}}} & {- m} \\{- m} & {E + {\sigma \cdot p_{i}}}\end{pmatrix}\begin{pmatrix}{S_{e,l}^{{- }\; {Et}}} \\{S_{i,r}^{{- }\; {Et}}}\end{pmatrix}} = 0}$ ${{{{or}\begin{pmatrix}E & {{- m} - {i\; {\sigma \cdot p_{i}}}} \\{{- m} + {i\; {\sigma \cdot p_{i}}}} & E\end{pmatrix}}\begin{pmatrix}{S_{e}^{{- }\; {Et}}} \\{S_{i}^{{- }\; {Et}}}\end{pmatrix}} = 0};{or}$ a proton, equation of said proton beingmodeled as: ${{\begin{pmatrix}{E - m} & {{- \sigma} \cdot p_{i}} \\{{- \sigma} \cdot p_{i}} & {E + m}\end{pmatrix}\begin{pmatrix}{S_{e, -}^{{+ }\; {Et}}} \\{S_{i, +}^{{+ }\; {Et}}}\end{pmatrix}} = 0},{{\begin{pmatrix}{E - {\sigma \cdot p_{i}}} & {- m} \\{- m} & {E + {\sigma \cdot p_{i}}}\end{pmatrix}\begin{pmatrix}{S_{e,r}^{{+ }\; {Et}}} \\{S_{i,l}^{{+ }\; {Et}}}\end{pmatrix}} = 0}$ ${{{or}\begin{pmatrix}E & {{- m} - {i\; {\sigma \cdot p_{i}}}} \\{{- m} + {i\; {\sigma \cdot p_{i}}}} & E\end{pmatrix}}\begin{pmatrix}{S_{e}^{{+ }\; {Et}}} \\{S_{i}^{{+ }\; {Et}}}\end{pmatrix}} = 0.$ 14: A model as in claim 12 wherein said elementaryparticle comprises an electron and said drawing is modified to include aproton, said proton being modeled as a second elementary particle, andinteraction fields of said electron and said proton, said modifieddrawing comprising: $\begin{matrix}{1 = ^{i\; 0}} \\{= {^{i\; 0}^{i\; 0}^{i\; 0}^{i\; 0}}} \\{= {\left( {^{i\; 0}^{i\; 0}} \right)_{p}\left( {^{i\; 0}^{i\; 0}} \right)_{e}}} \\{= {\left( {^{{+ {iL}} - {iM}}^{{+ {iM}} - {iM}}} \right)_{p}\left( {^{{- {iL}} + {iL}}^{{- {iM}} + {iM}}} \right)_{e}}} \\{= \left( {\left( {{\cos \mspace{11mu} L} + {i\mspace{11mu} \sin \mspace{11mu} L}} \right)\left( {{\cos \mspace{11mu} L} - {i\mspace{11mu} \sin \mspace{11mu} L}} \right)^{{+ {iM}} - {iM}}} \right)_{p}} \\{\left( {\left( {{\cos \mspace{11mu} L} - {i\mspace{11mu} \sin \mspace{11mu} L}} \right)\left( {{\cos \mspace{11mu} L} + {i\mspace{11mu} \sin \mspace{11mu} L}} \right)^{{- {iM}} + {iM}}} \right)_{e}} \\{= \left( {\left( {\frac{m}{E} + {i\; \frac{p_{i}}{E}}} \right)\left( {\frac{m}{E} - {i\; \frac{p_{i}}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} \right)_{p}} \\{\left( {\left( {\frac{m}{E} - {i\; \frac{p}{E}}} \right)\left( {\frac{m}{E} + {i\; \frac{p}{E}}} \right)^{{{- }\; p^{\mu}x_{\mu}} + {\; p^{\mu}x_{\mu}}}} \right)_{e}} \\{= {\left( {\frac{m^{2} + p_{i}^{2}}{E^{2}}^{{\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} \right)_{p}\left( {\frac{m^{2} + p^{2}}{E^{2}}^{{{- }\; p^{\mu}x_{\mu}} + {\; p^{\mu}x_{\mu}}}} \right)_{e}}} \\{= {\left( {\frac{E^{2} - m^{2}}{p_{i}^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} \right)_{p}\left( {\frac{E^{2} - m^{2}}{p^{2}}^{{{- }\; p^{\mu}x_{\mu}} + {\; p^{\mu}x_{\mu}}}} \right)_{e}}} \\{= \left( {\left( \frac{E - m}{- {p_{i}}} \right)\left( \frac{- {p_{i}}}{E + m} \right)^{- 1}\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)^{- 1}} \right)_{p}} \\{\left( {\left( \frac{E - m}{- {p}} \right)\left( \frac{- {p}}{E + m} \right)^{- 1}\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)^{- 1}} \right)_{e}} \\{{->\left( {{\begin{pmatrix}{E - m} & {- {p_{i}}} \\{- {p_{i}}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, -}^{{+ }\; {Et}}} \\{s_{i, +}^{{+ }\; {Et}}}\end{pmatrix}} = 0} \right)_{p}}} \\{\left( {{\begin{pmatrix}{E - m} & {- {p}} \\{- {p}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, +}^{{- }\; {Et}}} \\{s_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0} \right)_{e}} \\{\left. \rightarrow\begin{pmatrix}\left( {{\begin{pmatrix}{E - {e\; \varphi} - m} & {{- \sigma} \cdot \left( {p_{i} - {e\; A}} \right)} \\{{- \sigma} \cdot \left( {p + {e\; A}} \right)} & {E + {e\; \varphi} + m}\end{pmatrix}\begin{pmatrix}{S_{e, -}^{{+ }\; {Et}}} \\{S_{i, +}^{{+ }\; {Et}}}\end{pmatrix}} = 0} \right)_{p} \\\left( {{\begin{pmatrix}{E + {e\; \varphi} - m} & {{- \sigma} \cdot \left( {p + {e\; A}} \right)} \\{{- \sigma} \cdot \left( {p + {e\; A}} \right)} & {E + {e\; \varphi} + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0} \right)_{e}\end{pmatrix} \right.}\end{matrix}$ where ( )_(e) denotes electron, ( )_(p) denotes proton and(( )_(e)( )_(p)) denotes an electron-proton system. 15: A model as inclaim 12 wherein said elementary particle comprises an electron and saiddrawing is modified to include a unspinized proton, said unspinizedproton being modeled as a second elementary particle, and interactionfields of said electron and said unspinized proton, said modifieddrawing comprising: $\begin{matrix}{1 = ^{i\; 0}} \\{= {^{i\; 0}^{i\; 0}^{i\; 0}^{i\; 0}}} \\{= {\left( {^{i\; 0}^{i\; 0}} \right)_{p}\left( {^{i\; 0}^{i\; 0}} \right)_{e}}} \\{= {\left( {^{{+ {iL}} - {iM}}^{{+ {iM}} - {iM}}} \right)_{p}\left( {^{{- {iL}} + {iL}}^{{- {iM}} + {iM}}} \right)_{e}}} \\{= \left( {\left( {{\cos \mspace{11mu} L} + {i\mspace{11mu} \sin \mspace{11mu} L}} \right)\left( {{\cos \mspace{11mu} L} - {i\mspace{11mu} \sin \mspace{11mu} L}} \right)^{{+ {iM}} - {iM}}} \right)_{p}} \\{\left( {\left( {{\cos \mspace{11mu} L} - {i\mspace{11mu} \sin \mspace{11mu} L}} \right)\left( {{\cos \mspace{11mu} L} + {i\mspace{11mu} \sin \mspace{11mu} L}} \right)^{{- {iM}} + {iM}}} \right)_{e}} \\{= \left( {\left( {\frac{m}{E} + {i\; \frac{p_{i}}{E}}} \right)\left( {\frac{m}{E} - {i\; \frac{p_{i}}{E}}} \right)^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} \right)_{p}} \\{\left( {\left( {\frac{m}{E} - {i\; \frac{p}{E}}} \right)\left( {\frac{m}{E} + {i\; \frac{p}{E}}} \right)^{{{- }\; p^{\mu}x_{\mu}} + {\; p^{\mu}x_{\mu}}}} \right)_{e}} \\{= {\left( {\frac{m^{2} + p_{i}^{2}}{E^{2}}^{{\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} \right)_{p}\left( {\frac{m^{2} + p^{2}}{E^{2}}^{{{- }\; p^{\mu}x_{\mu}} + {\; p^{\mu}x_{\mu}}}} \right)_{e}}} \\{= {\left( {\frac{E^{2} - m^{2}}{p_{i}^{2}}^{{{+ }\; p^{\mu}x_{\mu}} - {\; p^{\mu}x_{\mu}}}} \right)_{p}\left( {\frac{E^{2} - m^{2}}{p^{2}}^{{{- }\; p^{\mu}x_{\mu}} + {\; p^{\mu}x_{\mu}}}} \right)_{e}}} \\{= \left( {\left( \frac{E - m}{- {p_{i}}} \right)\left( \frac{- {p_{i}}}{E + m} \right)^{- 1}\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)^{- 1}} \right)_{p}} \\{\left( {\left( \frac{E - m}{- {p}} \right)\left( \frac{- {p}}{E + m} \right)^{- 1}\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)\left( ^{{+ }\; p^{\mu}x_{\mu}} \right)^{- 1}} \right)_{e}} \\{{->\left( {{\begin{pmatrix}{E - m} & {- {p_{i}}} \\{- {p_{i}}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, -}^{{+ }\; {Et}}} \\{s_{i, +}^{{+ }\; {Et}}}\end{pmatrix}} = 0} \right)_{p}}} \\{\left( {{\begin{pmatrix}{E - m} & {- {p}} \\{- {p}} & {E + m}\end{pmatrix}\begin{pmatrix}{s_{e, +}^{{- }\; {Et}}} \\{s_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0} \right)_{e}} \\{\left. \rightarrow\begin{pmatrix}\left( {{\begin{pmatrix}{E - {e\; \varphi} - m} & {- {{p_{i} - {e\; A}}}} \\{- {{p_{i} + {e\; A}}}} & {E + {e\; \varphi} + m}\end{pmatrix}\begin{pmatrix}{S_{e, -}^{{+ }\; {Et}}} \\{S_{i, +}^{{+ }\; {Et}}}\end{pmatrix}} = 0} \right)_{p} \\\left( {{\begin{pmatrix}{E + {e\; \varphi} - V - m} & {{- \sigma} \cdot \left( {p + {e\; A}} \right)} \\{{- \sigma} \cdot \left( {p + {e\; A}} \right)} & {E + {e\; \varphi} - V + m}\end{pmatrix}\begin{pmatrix}{S_{e, +}^{{- }\; {Et}}} \\{S_{i, -}^{{- }\; {Et}}}\end{pmatrix}} = 0} \right)_{e}\end{pmatrix} \right.}\end{matrix}$ where ( )_(e) denotes electron, ( )_(p) denotes unspinizedproton and (( )_(e)( )_(p)) denotes an electron-unspinized protonsystem.